move cor, cov, std, stdm, var, varm and linreg to StatsBase

fix #25571 (comment) (included in JuliaStats/StatsBase.jl#379)
fix #23769 (included in JuliaStats/StatsBase.jl#379)
fix #27140

base/deprecated.jl

@@ -293,12 +293,6 @@ deprecate(Base, :DSP, 2)
 using .DSP
 export conv, conv2, deconv, filt, filt!, xcorr
 
-# PR #21709
-@deprecate cov(x::AbstractVector, corrected::Bool) cov(x, corrected=corrected)
-@deprecate cov(x::AbstractMatrix, vardim::Int, corrected::Bool) cov(x, dims=vardim, corrected=corrected)
-@deprecate cov(X::AbstractVector, Y::AbstractVector, corrected::Bool) cov(X, Y, corrected=corrected)
-@deprecate cov(X::AbstractVecOrMat, Y::AbstractVecOrMat, vardim::Int, corrected::Bool) cov(X, Y, dims=vardim, corrected=corrected)
-
 # PR #22325
 # TODO: when this replace is removed from deprecated.jl:
 # 1) rename the function replace_new from strings/util.jl to replace
@@ -1351,13 +1345,6 @@ export readandwrite
 @deprecate findmin(A::AbstractArray, dims)    findmin(A, dims=dims)
 
 @deprecate mean(A::AbstractArray, dims)                              mean(A, dims=dims)
-@deprecate varm(A::AbstractArray, m::AbstractArray, dims; kwargs...) varm(A, m; kwargs..., dims=dims)
-@deprecate var(A::AbstractArray, dims; kwargs...)                    var(A; kwargs..., dims=dims)
-@deprecate std(A::AbstractArray, dims; kwargs...)                    std(A; kwargs..., dims=dims)
-@deprecate cov(X::AbstractMatrix, dim::Int; kwargs...)               cov(X; kwargs..., dims=dim)
-@deprecate cov(x::AbstractVecOrMat, y::AbstractVecOrMat, dim::Int; kwargs...) cov(x, y; kwargs..., dims=dim)
-@deprecate cor(X::AbstractMatrix, dim::Int)                          cor(X, dims=dim)
-@deprecate cor(x::AbstractVecOrMat, y::AbstractVecOrMat, dim::Int)   cor(x, y, dims=dim)
 @deprecate median(A::AbstractArray, dims; kwargs...)                 median(A; kwargs..., dims=dims)
 
 @deprecate mapreducedim(f, op, A::AbstractArray, dims)     mapreduce(f, op, A, dims=dims)
@@ -1673,6 +1660,15 @@ end
 @deprecate next(s::AbstractString, i::Integer) iterate(s, i)
 @deprecate done(s::AbstractString, i::Integer) i > ncodeunits(s)
 
+# #27140, #27152
+@deprecate_moved cor "StatsBase"
+@deprecate_moved cov "StatsBase"
+@deprecate_moved std "StatsBase"
+@deprecate_moved stdm "StatsBase"
+@deprecate_moved var "StatsBase"
+@deprecate_moved varm "StatsBase"
+@deprecate_moved linreg "StatsBase"
+
 # issue #27093
 # in src/jlfrontend.scm a call to `@deprecate` is generated for per-module `eval(m, x)`
 @eval Core Main.Base.@deprecate(eval(e), Core.eval(Main, e))

base/exports.jl

@@ -633,19 +633,13 @@ export
     set_zero_subnormals,
 
 # statistics
-    cor,
-    cov,
     mean!,
     mean,
     median!,
     median,
     middle,
     quantile!,
     quantile,
-    std,
-    stdm,
-    var,
-    varm,
 
 # iteration
     done,